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Let Bp be the Ariño–Muckenhoupt weight class which controls the weighted L-norm inequalities for the Hardy operator on non-increasing functions. We replace the constant p by a function p(x) and examine the associated L-norm inequalities of the Hardy operator.

Weighted variable Lpintegral inequalities for the maximal operator on non-increasing functions

Weighted variable L^pintegral inequalities for the maximal operator on non-increasing functions